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Finding the Fourth Proportional to 11,745.95, 17,598.43 and 9,784.19

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Solution

The fourth proportional to 11,745.95, 17,598.43 and 9,784.19 is: 14,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.95 : 17,598.43 = 9,784.19 : x
  2. Step 2: Convert to fraction form
    11,745.95/17,598.43 = 9,784.19/x
  3. Step 3: Cross multiply
    11,745.95x = 17,598.43 × 9,784.19
  4. Step 4: Simplify right side
    11,745.95x = 172,186,439.05
  5. Step 5: Solve for x
    x = 172,186,439.05/11,745.95
  6. Step 6: Final answer
    x = 14,659.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.